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Finding the Fourth Proportional to 2,135.66, 2,945.50 and 1,472.36

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Solution

The fourth proportional to 2,135.66, 2,945.50 and 1,472.36 is: 2,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.66 : 2,945.50 = 1,472.36 : x
  2. Step 2: Convert to fraction form
    2,135.66/2,945.50 = 1,472.36/x
  3. Step 3: Cross multiply
    2,135.66x = 2,945.50 × 1,472.36
  4. Step 4: Simplify right side
    2,135.66x = 4,336,817.97
  5. Step 5: Solve for x
    x = 4,336,817.97/2,135.66
  6. Step 6: Final answer
    x = 2,030.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.